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Finding the Fourth Proportional to 3,384.90, 5,073.66 and 1,533.42

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Solution

The fourth proportional to 3,384.90, 5,073.66 and 1,533.42 is: 2,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.90 : 5,073.66 = 1,533.42 : x
  2. Step 2: Convert to fraction form
    3,384.90/5,073.66 = 1,533.42/x
  3. Step 3: Cross multiply
    3,384.90x = 5,073.66 × 1,533.42
  4. Step 4: Simplify right side
    3,384.90x = 7,780,051.72
  5. Step 5: Solve for x
    x = 7,780,051.72/3,384.90
  6. Step 6: Final answer
    x = 2,298.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.